Question

What is the following product ? 3sqrt 16x^7 * 3sqrt 12x^9

Answer 1

`4x^5\sqrt[3]{3x}`

Explanation:

`\sqrt[3]{16x^7} * \sqrt[3]{12x^9}\\\\(2^4 x^7)^{(1)/(3)} * (2^2 * 3 x^9)^{(1)/(3)}\\\\2^{(4)/(3)} * x^{(7)/(3)} * 2^{(2)/(3)} * 3^{(1)/(3)} * x^{(9)/(3)}\\\\2^{(4)/(3) + (2)/(3)} * x^{(7)/(3) + 3} * 3^{(1)/(3)}\\\\2^{(6)/(3)} * x^{(16)/(3)} *\sqrt[3]{3}\\\\2^2 x^5 \sqrt[3]{x} * \sqrt[3]{3} \\\\4x^5 \sqrt[3]{3x}`